The Resource Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms, Nicholas M. Katz

Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms, Nicholas M. Katz

Label
Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms
Title
Convolution and equidistribution
Title remainder
Sato-Tate theorems for finite-field Mellin transforms
Statement of responsibility
Nicholas M. Katz
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1943-
http://library.link/vocab/creatorName
Katz, Nicholas M.
Illustrations
illustrations
Index
index present
LC call number
QA432
LC item number
.K38 2012
Literary form
non fiction
Nature of contents
bibliography
Series statement
Annals of mathematics studies
Series volume
no. 180
http://library.link/vocab/subjectName
  • Mellin transform
  • Convolutions (Mathematics)
  • Sequences (Mathematics)
  • Convolutions (Mathematics)
  • Mellin transform
  • Sequences (Mathematics)
Label
Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms, Nicholas M. Katz
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 21
  • Chapter 4
  • The Situation over a Finite Field
  • 25
  • Chapter 5
  • Frobenius Conjugacy Classes
  • 31
  • Chapter 6
  • Group-Theoretic Facts about G<sub>geom.</sub> and G<sub>arith</sub>
  • 33
  • Chapter 1
  • Chapter 7
  • The Main Theorem
  • 39
  • Chapter 8
  • Isogenies, Connectedness, and Lie-Irreducibility
  • 45
  • Chapter 9
  • Autodualities and Signs
  • 49
  • Chapter 10
  • Overview
  • A First Construction of Autodual Objects
  • 53
  • Chapter 11
  • A Second Construction of Autodual Objects
  • 55
  • Chapter 12
  • The Previous Construction in the Nonsplit Case
  • 61
  • Chapter 13
  • Results of Goursat-Kolchin-Ribet Type
  • 7
  • 63
  • Chapter 14
  • The Case of SL(2); the Examples of Evans and Rudnick
  • 67
  • Chapter 15
  • Further SL(2) Examples, Based on the Legendre Family
  • 73
  • Chapter 16
  • Frobenius Tori and Weights; Getting Elements of G<sub>arith</sub>
  • 77
  • Chapter 2
  • Chapter 17
  • GL(n) Examples
  • 81
  • Chapter 18
  • Symplectic Examples
  • 89
  • Chapter 19
  • Orthogonal Examples, Especially SO(n) Examples
  • 103
  • Chapter 20
  • Convolution of Perverse Sheaves
  • GL(n) × GL(n) × ... × GL(n) Examples
  • 113
  • Chapter 21
  • SL(n) Examples, for n an Odd Prime
  • 125
  • Chapter 22
  • SL(n) Examples with Slightly Composite n
  • 135
  • Chapter 23
  • Other SL(n) Examples
  • 19
  • 141
  • Chapter 24
  • An O(2n) Example
  • 145
  • Chapter 25
  • G2 Examples: the Overall Strategy
  • 147
  • Chapter 26
  • G2 Examples: Construction in Characteristic Two
  • 155
  • Chapter 3
  • Chapter 27
  • G2 Examples: Construction in Odd Characteristic
  • 163
  • Chapter 28
  • The Situation over Z: Results
  • 173
  • Chapter 29
  • The Situation over Z: Questions
  • 181
  • Chapter 30
  • Fibre Functors
  • Appendix: Deligne's Fibre Functor
  • 187
Dimensions
25 cm.
Extent
vi, 203 pages
Isbn
9780691153315
Isbn Type
(pbk. : alk. paper)
Lccn
2011030224
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)748290724
  • (OCoLC)ocn748290724
Label
Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms, Nicholas M. Katz
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 21
  • Chapter 4
  • The Situation over a Finite Field
  • 25
  • Chapter 5
  • Frobenius Conjugacy Classes
  • 31
  • Chapter 6
  • Group-Theoretic Facts about G<sub>geom.</sub> and G<sub>arith</sub>
  • 33
  • Chapter 1
  • Chapter 7
  • The Main Theorem
  • 39
  • Chapter 8
  • Isogenies, Connectedness, and Lie-Irreducibility
  • 45
  • Chapter 9
  • Autodualities and Signs
  • 49
  • Chapter 10
  • Overview
  • A First Construction of Autodual Objects
  • 53
  • Chapter 11
  • A Second Construction of Autodual Objects
  • 55
  • Chapter 12
  • The Previous Construction in the Nonsplit Case
  • 61
  • Chapter 13
  • Results of Goursat-Kolchin-Ribet Type
  • 7
  • 63
  • Chapter 14
  • The Case of SL(2); the Examples of Evans and Rudnick
  • 67
  • Chapter 15
  • Further SL(2) Examples, Based on the Legendre Family
  • 73
  • Chapter 16
  • Frobenius Tori and Weights; Getting Elements of G<sub>arith</sub>
  • 77
  • Chapter 2
  • Chapter 17
  • GL(n) Examples
  • 81
  • Chapter 18
  • Symplectic Examples
  • 89
  • Chapter 19
  • Orthogonal Examples, Especially SO(n) Examples
  • 103
  • Chapter 20
  • Convolution of Perverse Sheaves
  • GL(n) × GL(n) × ... × GL(n) Examples
  • 113
  • Chapter 21
  • SL(n) Examples, for n an Odd Prime
  • 125
  • Chapter 22
  • SL(n) Examples with Slightly Composite n
  • 135
  • Chapter 23
  • Other SL(n) Examples
  • 19
  • 141
  • Chapter 24
  • An O(2n) Example
  • 145
  • Chapter 25
  • G2 Examples: the Overall Strategy
  • 147
  • Chapter 26
  • G2 Examples: Construction in Characteristic Two
  • 155
  • Chapter 3
  • Chapter 27
  • G2 Examples: Construction in Odd Characteristic
  • 163
  • Chapter 28
  • The Situation over Z: Results
  • 173
  • Chapter 29
  • The Situation over Z: Questions
  • 181
  • Chapter 30
  • Fibre Functors
  • Appendix: Deligne's Fibre Functor
  • 187
Dimensions
25 cm.
Extent
vi, 203 pages
Isbn
9780691153315
Isbn Type
(pbk. : alk. paper)
Lccn
2011030224
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)748290724
  • (OCoLC)ocn748290724

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